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1014214320 = 243257201233
BaseRepresentation
bin111100011100111…
…010111010110000
32121200102102111100
4330130322322300
54034114324240
6244350044400
734063452030
oct7434727260
92550372440
101014214320
11480552259
122437a9700
13132176022
14989ab8c0
155e08ce30
hex3c73aeb0

1014214320 has 120 divisors (see below), whose sum is σ = 3892670496. Its totient is φ = 231819264.

The previous prime is 1014214273. The next prime is 1014214337. The reversal of 1014214320 is 234124101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014214293 and 1014214302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95577 + ... + 105656.

Almost surely, 21014214320 is an apocalyptic number.

1014214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014214320 is an abundant number, since it is smaller than the sum of its proper divisors (2878456176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014214320 is a wasteful number, since it uses less digits than its factorization.

1014214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201259 (or 201250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014214320 is about 31846.7317004430. The cubic root of 1014214320 is about 1004.7158326307.

Adding to 1014214320 its reverse (234124101), we get a palindrome (1248338421).

The spelling of 1014214320 in words is "one billion, fourteen million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 201233 402466 603699 804932 1006165 1207398 1408631 1609864 1811097 2012330 2414796 2817262 3018495 3219728 3622194 4024660 4225893 4829592 5634524 6036990 7043155 7244388 8049320 8451786 9055485 9659184 11269048 12073980 12677679 14086310 14488776 16098640 16903572 18110970 21129465 22538096 24147960 25355358 28172620 28977552 33807144 36221940 42258930 48295920 50710716 56345240 63388395 67614288 72443880 84517860 101421432 112690480 126776790 144887760 169035720 202842864 253553580 338071440 507107160 1014214320